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Finding the Fourth Proportional to 200,666.08, 301,049.21 and 141,617.08

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Solution

The fourth proportional to 200,666.08, 301,049.21 and 141,617.08 is: 212,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.08 : 301,049.21 = 141,617.08 : x
  2. Step 2: Convert to fraction form
    200,666.08/301,049.21 = 141,617.08/x
  3. Step 3: Cross multiply
    200,666.08x = 301,049.21 × 141,617.08
  4. Step 4: Simplify right side
    200,666.08x = 42,633,710,056.51
  5. Step 5: Solve for x
    x = 42,633,710,056.51/200,666.08
  6. Step 6: Final answer
    x = 212,460.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.